How do you remove a pitchers mound?
More than likely a pitcher's mound is removed by smoothing the dirt out with a bulldozer.
It's to give the pitchers an advantage. Of course, these days, there isn't much of an advantage. Back in the 60s, it was raised (the mound was made higher) since the pitchers complained about the batter's advantage. Shortly thereafter, it was lowered to its present height due to the dominance of pitchers like Bob Gibson.
Pitchers can do their initial warm-ups anywhere, usually some light throwing to warm up their arms in the outfield area. Then they can move into the bullpen where there is a mound and a catcher where the height of the mound and distance to the catcher are identical to the mound and catcher on the playing field. Starting pitchers may use the bullpen for their warm-ups during pre-game ceremonies on the field, then move onto…
Is the distance between the pitcher's mound and first base or the pitcher's mound and third base exactly half of the distance between first and third?
The pitchers mound was created in the late 1800's. It was put in to create a downward angle for the pitches, and to help the pitcher generate speed when sloping downhill. The height was originally 10 inches, but was raised to 15 in 1903. Over the years, hitting went down, and the mound was lowered back to ten inches.